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## Michel, Anthony N.

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 Author ID: michel.anthony-n Published as: Michel, A. N.; Michel, Anthony; Michel, Anthony N. Homepage: https://engineering.nd.edu/profiles/amichel External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 178 Publications since 1969, including 16 Books Biographic References: 2 Publications
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#### Co-Authors

 10 single-authored 34 Miller, Richard K. 18 Hou, Ling 14 Liu, Derong 13 Hu, Bo 11 Wang, Kaining 9 Zhai, Guisheng 8 Sun, Ye 7 Porod, Wolfgang 7 Radenkovic, Miloje S. 6 Antsaklis, Panos J. 6 Farrell, Jay A. 6 Passino, Kevin M. 5 Mousa, Mohsen S. 5 Rasmussen, Robert D. 4 Feng, Zhaoshu 4 Lasley, E. L. 4 Molchanov, Alexander P. 4 Skar, Sherwin J. 4 Vittal, Vijay 3 Grujić, Ljubomir T. 3 Gutmann, R. L. 3 Heinen, James A. 3 Herget, Charles J. 3 Krenz, Gary S. 3 Li, Jianhua 3 Porter, David W. 3 Ye, Hui 2 Bernstein, Dennis S. 2 Bose, Anjan 2 Cornick, Douglas E. 2 Erickson, Kelvin T. 2 Nam, Boo Hee 2 Oppenheimer, Edward P. 2 Sarabudla, N. R. 2 Tang, Wang 2 Xu, Xuping 2 Yasuda, Kazunori 2 Yen, Gune 1 Burgess, Kevin L. 1 Chen, Xinkai 1 Desch, Wolfgang 1 Farrel, J. A. 1 Fouad, A. A. 1 Hale, Harry W. 1 Kulig, Czeslawa 1 Lin, Hai 1 Mousa, M. 1 Pai, M. A. 1 Schrader, Cheryl B. 1 Si, Jennie 1 Skaar, Steven B. 1 Sun, Haifeng 1 Sun, Hongfei 1 Vitacco, William R. 1 Won, Chang-Hee 1 Wu, Shu-Chen 1 Yen, Gary G.
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#### Serials

 32 IEEE Transactions on Automatic Control 24 IEEE Transactions on Circuits and Systems 9 Circuits, Systems, and Signal Processing 7 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications 5 SIAM Journal on Control and Optimization 5 Systems & Control Letters 4 International Journal of Systems Science 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Nonlinear Analysis. Hybrid Systems 3 Automatica 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 IEEE Transactions on Circuits and Systems. II: Analog and Digital Signal Processing 3 Automation and Remote Control 3 SIAM Journal on Mathematical Analysis 3 International Journal of Robust and Nonlinear Control 3 Nonlinear Studies 3 International Journal of Control, I. Series 3 Pure and Applied Mathematics, Marcel Dekker 3 Systems & Control: Foundations & Applications 2 Journal of the Franklin Institute 2 Neural, Parallel & Scientific Computations 2 Nonlinear Dynamics and Systems Theory 1 Archive for Rational Mechanics and Analysis 1 International Journal of Control 1 Journal of Optimization Theory and Applications 1 Tohoku Mathematical Journal. Second Series 1 Mathematical and Computer Modelling 1 Information and Decision Technology 1 International Journal of Adaptive Control and Signal Processing 1 Discrete Event Dynamic Systems 1 IEEE Transactions on Systems, Man, and Cybernetics 1 Linear Algebra and its Applications 1 Neurocomputing 1 Communications in Applied Analysis 1 International Journal of Applied Mathematics and Computer Science 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 SIAM Journal on Control 1 Regelungstechnik und Prozeß-Datenverarbeitung 1 Lecture Notes in Control and Information Sciences 1 Mathematics in Science and Engineering
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#### Fields

 133 Systems theory; control (93-XX) 51 Ordinary differential equations (34-XX) 21 Dynamical systems and ergodic theory (37-XX) 18 Computer science (68-XX) 12 Biology and other natural sciences (92-XX) 10 Information and communication theory, circuits (94-XX) 8 Integral equations (45-XX) 7 Operator theory (47-XX) 7 Mechanics of particles and systems (70-XX) 6 Partial differential equations (35-XX) 6 Numerical analysis (65-XX) 5 General and overarching topics; collections (00-XX) 4 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 3 General topology (54-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH

130 Publications have been cited 2,012 times in 1,541 Documents Cited by Year
Disturbance attenuation properties of time-controlled switched systems. Zbl 1022.93017
Zhai, Guisheng; Hu, Bo; Yasuda, Kazunori; Michel, Anthony N.
2001
Qualitative analysis of large scale dynamical systems. Zbl 0494.93002
Michel, Anthony N.; Miller, Richard K.
1977
Stability theory for hybrid dynamical systems. Zbl 0905.93024
Ye, Hui; Michel, Anthony N.; Hou, Ling
1998
Stability analysis of switched systems with stable and unstable subsystems: An average dwell time approach. Zbl 1022.93043
Zhai, Guisheng; Hu, Bo; Yasuda, Kazunori; Michel, Anthony N.
2001
Ordinary differential equations. Zbl 0552.34001
Miller, Richard K.; Michel, Anthony N.
1982
A chronological bibliography on saturating actuators. Zbl 0841.93002
Bernstein, Dennis S.; Michel, Anthony N.
1995
On periodic solutions in systems of high order differential equations. Zbl 0499.34024
Skar, S. J.; Miller, R. K.; Michel, A. N.
1982
Qualitative analysis of neural networks. Zbl 0672.94015
Michel, Anthony N.; Farrell, Jay A.; Porod, Wolfgang
1989
Stability of dynamical systems. Continuous, discontinuous, and discrete systems. Zbl 1146.34002
Michel, Anthony N.; Hou, Ling; Liu, Derong
2008
Asymptotic stability of discrete-time systems with saturation nonlinearities with applications to digital filters. Zbl 0776.93077
Liu, Derong; Michel, Anthony N.
1992
$$L_2$$-stability and -instability of large-scale systems described by integrodifferential equations. Zbl 0358.93028
Miller, R. K.; Michel, A. N.
1977
Stability analysis of systems with impulse effects. Zbl 0957.34051
Ye, Hui; Michel, Anthony N.; Hou, Ling
1998
Linear systems. 2nd corrected printing. Zbl 1189.93001
Antsaklis, Panos J.; Michel, Anthony N.
2006
Dynamical systems with saturation nonlinearities: analysis and design. Zbl 0806.93051
Liu, Derong; Michel, Anthony N.
1994
Robust stabilizing control laws for a class of second-order switched systems. Zbl 0948.93013
Hu, B.; Xu, X.; Antsaklis, P. J.; Michel, A. N.
1999
Stability analysis of digital feedback control systems with time-varying sampling periods. Zbl 0941.93034
Hu, Bo; Michel, Anthony N.
2000
Recent trends in the stability analysis of hybrid dynamical systems. Zbl 0981.93055
Michel, Anthony N.
1999
Qualitative analysis and synthesis of a class of neural networks. Zbl 0664.34042
Li, Jian Hua; Michel, Anthony N.; Porod, Wolfgang
1988
Stability of viscoelastic control systems. Zbl 0641.93051
Skaar, Steven B.; Michel, Anthony N.; Miller, Richard K.
1988
Towards a stability theory of general hybrid dynamical systems. Zbl 0936.93040
Michel, Anthony N.; Hu, Bo
1999
Qualitative analysis and synthesis of recurrent neural networks. Zbl 1026.68115
Michel, Anthony N.; Liu, Derong
2002
Analysis and synthesis of a class of neural networks: Linear systems operating on a closed hypercube. Zbl 0689.94004
Li, Jian-Hua; Michel, Anthony N.; Porod, Wolfgang
1989
A linear systems primer. Zbl 1168.93001
Antsaklis, Panos J; Michel, Anthony N.
2007
Qualitative theory of dynamical systems. The role of stability preserving mappings. 2nd, revised and expanded ed. Zbl 0976.34001
Michel, Anthony N.; Wang, Kaining; Hu, Bo
2001
Stability analysis of state-space realization for two-dimensional filters with overflow nonlinearities. Zbl 0845.93072
Liu, Derong; Michel, Anthony N.
1994
Necessary and sufficient conditions for the Hurwitz and Schur stability of interval matrices. Zbl 0810.93051
Wang, Kaining; Michel, Anthony N.; Liu, Derong
1994
Quantizer effects on steady-state error specifications of digital feedback control systems. Zbl 0682.93021
Miller, R. K.; Michel, A. N.; Farrell, J. A.
1989
Analysis and design of switched normal systems. Zbl 1119.34042
Zhai, Guisheng; Xu, Xuping; Lin, Hai; Michel, Anthony N.
2006
Stability analysis of interconnected systems. Zbl 0289.93041
Michel, Anthony N.
1974
Stability of discrete systems over a finite interval of time. Zbl 0174.40404
Michel, A. N.; Wu, S. H.
1969
Some qualitative properties of sampled-data control systems. Zbl 1041.93541
Hou, Ling; Michel, Anthony N.; Ye, Hui
1997
Lyapunov stability of a class of discrete event systems. Zbl 0801.93052
Passino, Kevin M.; Michel, Anthony N.; Antsaklis, Panos J.
1994
Stability analysis of complex dynamical systems. Some computational methods. Zbl 0493.93040
Michel, A. N.; Sarabudla, N. R.; Miller, R. K.
1982
Special issue on saturating actuators. Zbl 0828.00026
Bernstein, D. S. (ed.); Michel, A. N. (ed.)
1995
A synthesis procedure for Hopfield’s continuous-time associative memory. Zbl 0715.94021
Farrell, Jay A.; Michel, Anthony N.
1990
Computer generated Lyapunov functions for interconnected systems: Improved results with applications to power systems. Zbl 0542.93050
Michel, Anthony N.; Nam, B. H.; Vittal, Vijay
1984
Cellular neural network for associative memories. Zbl 0800.92046
Liu, Derong; Michel, Anthony N.
1993
Quantization and overflow effects in digital implementations of linear dynamic controllers. Zbl 0646.93053
Miller, R. K.; Mousa, M. S.; Michel, A. N.
1988
Common quadratic Lyapunov-like functions with associated switching regions for two unstable second-order LTI systems. Zbl 1017.93097
Hu, Bo; Zhai, Guisheng; Michel, Anthony N.
2002
Robustness analysis of digital feedback control systems with time-varying sampling periods. Zbl 0981.93043
Hu, Bo; Michel, Anthony N.
2000
Stability analysis of fixed-point digital filters using computer generated Lyapunov functions. I. Direct form and coupled form filters. Zbl 0557.93056
Erickson, Kelvin T.; Michel, Anthony N.
1985
Stability analysis of composite systems. Zbl 0258.93012
Michel, A. N.; Porter, D. W.
1972
Generalized practical stability analysis of discontinuous dynamical systems. Zbl 1171.34328
Zhai, Guisheng; Michel, Anthony N.
2004
Robust adaptive systems and self stabilization. Zbl 0755.93052
Radenkovic, Miloje S.; Michel, Anthony N.
1992
Stability analysis of hybrid composite dynamical systems: Descriptions involving operators and difference equations. Zbl 0618.93058
Mousa, Mohsen S.; Miller, Richard K.; Michel, Anthony N.
1986
Stability of discontinuous retarded functional differential equations with applications. Zbl 1365.34127
Sun, Ye; Michel, Anthony N.; Zhai, Guisheng
2005
Partial stability and boundedness of general dynamical systems on metric spaces. Zbl 1035.37008
Michel, A. N.; Molchanov, A. P.; Sun, Y.
2003
Stability analysis of pulse-width-modulated feedback systems. Zbl 0995.93058
Hou, Ling; Michel, Anthony N.
2001
Correction to “Lyapunov stability of a class of discrete-event systems”. Zbl 0825.93590
Passino, K. M.; Michel, A. N.; Antsaklis, P. J.
1994
Stability analysis of interconnected systems using computer generated Lyapunov functions. Zbl 0492.93049
Michel, Anthony N.; Miller, Richard K.; Nam, Boo Hee
1982
Asymptotic stability of systems: Results involving the system topology. Zbl 0439.93045
Miller, R. K.; Michel, A. N.
1980
Input-output stability of interconnected systems. Zbl 0317.93050
Lasley, E. L.; Michel, A. N.
1976
Stability analysis of stochastic composite systems. Zbl 0301.93069
Michel, Anthony N.
1975
Stability of dynamical systems. On the role of monotonic and non-monotonic Lyapunov functions. 2nd ed. Zbl 1319.34005
Michel, Anthony N.; Hou, Ling; Liu, Derong
2015
Stability analysis of discountinuous dynamical systems determined by semigroups. Zbl 1365.34104
Michel, Anthony N.; Sun, Ye; Molchanov, Alexander P.
2005
Asymptotic stability of systems with saturation constraints. Zbl 0961.93050
Hou, Ling; Michel, Anthony N.
1998
Lagrange stability and boundedness of discrete event systems. Zbl 0849.93051
Passino, Kevin M.; Burgess, Kevin L.; Michel, Anthony N.
1995
Applied algebra and functional analysis. Corr. repr. of the 1981 orig. Zbl 0849.00005
Michel, Anthony N.; Herget, Charles J.
1993
Analysis and synthesis of a class of neural networks: Variable structure systems with infinite gain. Zbl 0675.94021
Li, Jianhua; Michel, Anthony N.; Porod, Wolfgang
1989
Stability, transient behaviour and trajectory bounds of interconnected systems. Zbl 0186.48304
Michel, A. N.
1970
On the bounds of the trajectories of differential systems. Zbl 0176.38805
Michel, A. N.
1969
Moment stability of discontinuous stochastic dynamical systems. Zbl 1015.93068
Hou, Ling; Michel, Anthony N.
2001
Robustness and perturbation analysis of a class of nonlinear systems with applications to neural networks. Zbl 0843.93049
Wang, Kaining; Michel, Anthony N.
1994
On existence of periodic motions in nonlinear control systems with periodic inputs. Zbl 0464.93034
Miller, R. K.; Michel, A. N.
1980
Lyapunov stability of interconnected systems: Decomposition into strongly connected subsystems. Zbl 0392.93018
Michel, Anthony N.; Miller, Richard K.; Tang, Wang
1978
Quantitative analysis of systems: Stability, boundedness, and trajectory behavior. Zbl 0201.11301
Michel, A. N.
1970
Stability analysis of a class of nonlinear multirate digital control systems. Zbl 0951.93049
Hu, Bo; Michel, Anthony N.
1999
A learning and forgetting algorithm in associative memories: Results involving pseudo-inverses. Zbl 0738.68067
Yen, Gune; Michel, Anthony N.
1991
Estimates of asymptotic trajectory bounds in digital implementations of linear feedback control systems. Zbl 0689.93048
Farrell, J. A.; Michel, A. N.
1989
Application of interval analysis techniques to linear systems. III: Initial value problems. Zbl 0850.93688
Oppenheimer, Edward P.; Michel, Anthony N.
1988
Stability of stochastic composite systems. Zbl 0321.93055
Michel, Anthony N.; Rasmussen, Robert D.
1976
Hybrid static output feedback stabilization of second-order linear time-invariant systems. Zbl 1007.93061
Hu, Bo; Zhai, Guisheng; Michel, Anthony N.
2002
On sufficient conditions for the stability of interval matrices. Zbl 0772.93073
Wang, Kaining; Michel, Anthony N.
1993
Verification of the self-stabilization mechanism in robust stochastic adaptive control using Lyapunov function arguments. Zbl 0771.93050
1992
Asymptotic stability of systems operating on a closed hypercube. Zbl 0781.93082
Liu, Derong; Michel, Anthony N.
1992
A learning and forgetting algorithm in associative memories: The eigenstructure method. Zbl 0825.68515
Yen, Gune; Michel, Anthony N.
1992
Application of interval analysis techniques to linear systems. I: Fundamental results. Zbl 0663.65073
Oppenheimer, Edward P.; Michel, Anthony N.
1988
On the stability of limit cycles in nonlinear feedback systems: Analysis using describing functions. Zbl 0536.93041
Miller, Richard K.; Michel, Anthony N.; Krenz, G. S.
1983
On the response of nonlinear multivariable interconnected feedback systems to periodic input signals. Zbl 0455.93032
Miller, Richard K.; Michel, Anthony N.
1980
Second-order stochastic input-output stability and instability of interconnected systems. Zbl 0431.93058
Gutmann, R. L.; Michel, A. N.
1979
Comparison theorems for set stability of differential equations. Zbl 0225.34031
Heinen, James A.; Michel, Anthony N.
1971
Analysis of discontinuous large-scale systems: Stability, transient behaviour and trajectory bounds. Zbl 0217.58203
Michel, A. N.; Porter, D. W.
1971
Robustness analysis of a class of discrete-time recurrent neural networks under perturbations. Zbl 1055.93560
Feng, Zhaoshu; Michel, Anthony N.
1999
Some qualitative properties of multirate digital control systems. Zbl 0958.93062
Hu, Bo; Michel, Anthony N.
1999
Sparsely interconnected neural networks for associative memories with applications to cellular neural networks. Zbl 0801.68149
Liu, Derong; Michel, Anthony N.
1994
Necessary and sufficient conditions for the controllability and observability of a class of linear, time-invariant systems with interval plants. Zbl 0800.93165
Wang, Kaining; Michel, Anthony N.
1994
Exponential stability and trajectory bounds of neural networks under structural variations. Zbl 0738.93057
Grujić, Ljubomir T.; Michel, Anthony N.
1991
Stability analysis of hybrid composite dynamical systems: descriptions involving operators and differential equations. Zbl 0597.93049
Mousa, Mohsen S.; Miller, Richard K.; Michel, Anthony N.
1986
Stability analysis of limit cycles in nonlinear feedback systems using describing functions: Improved results. Zbl 0546.93054
Miller, R. K.; Michel, A. N.; Krenz, G. S.
1984
On the status of stability of interconnected systems. Zbl 0519.93012
Michel, Anthony N.
1983
Mathematical foundations in engineering and science. Algebra and analysis. Zbl 0497.00002
Michel, Anthony N.; Herget, Charles J.
1981
Stability of interconnected dynamical systems described on Banach spaces. Zbl 0334.93024
Rasmussen, Robert D.; Michel, Anthony N.
1976
Input-output stability of time-varying nonlinear multiloop feedback systems. Zbl 0283.93039
Porter, D. W.; Michel, A. N.
1974
Numerical optimization of linear, distributed-parameter systems. Zbl 0263.65073
Cornick, D. E.; Michel, A. N.
1974
Relaxation of hypotheses in LaSalle-Krasovskii-type invariance results. Zbl 1233.37008
Michel, Anthony N.; Hou, Ling
2011
Stability results involving time-averaged Lyapunov function derivatives. Zbl 1157.93459
Michel, Anthony N.; Hou, Ling
2009
Partial stability and boundedness of discontinuous dynamical systems. Zbl 1032.34052
Michel, A. N.; Molchanov, A. P.; Sun, Y.
2002
Global asymptotic stability of a class of feedback neural networks with an application to optimization problems. Zbl 0915.93055
Feng, Zhaoshu; Michel, Anthony N.
1998
Qualitative analysis of dynamical systems determined by differential inequalities with applications to robust stability. Zbl 0804.93029
Wang, Kaining; Michel, Anthony N.
1994
Qualitative analysis of neural networks. Zbl 0677.93003
Michel, A. N.; Farrell, J. A.; Porod, W.
1988
Stability of dynamical systems. On the role of monotonic and non-monotonic Lyapunov functions. 2nd ed. Zbl 1319.34005
Michel, Anthony N.; Hou, Ling; Liu, Derong
2015
Relaxation of hypotheses in LaSalle-Krasovskii-type invariance results. Zbl 1233.37008
Michel, Anthony N.; Hou, Ling
2011
Stability results involving time-averaged Lyapunov function derivatives. Zbl 1157.93459
Michel, Anthony N.; Hou, Ling
2009
Stability of dynamical systems. Continuous, discontinuous, and discrete systems. Zbl 1146.34002
Michel, Anthony N.; Hou, Ling; Liu, Derong
2008
Advances in statistical control, algebraic systems theory, and dynamic systems characteristics. A tribute to Michael K. Sain. Zbl 1149.93007
Won, Chang-Hee (ed.); Schrader, Cheryl B. (ed.); Michel, Anthony N. (ed.)
2008
A linear systems primer. Zbl 1168.93001
Antsaklis, Panos J; Michel, Anthony N.
2007
Unifying theory for stability of continuous, discontinuous, and discrete-time dynamical systems. Zbl 1117.93051
Hou, Ling; Michel, Anthony N.
2007
Linear systems. 2nd corrected printing. Zbl 1189.93001
Antsaklis, Panos J.; Michel, Anthony N.
2006
Analysis and design of switched normal systems. Zbl 1119.34042
Zhai, Guisheng; Xu, Xuping; Lin, Hai; Michel, Anthony N.
2006
Stability of discontinuous Cauchy problems in Banach space. Zbl 1110.34036
Michel, Anthony N.; Sun, Ye
2006
Stability of discontinuous retarded functional differential equations with applications. Zbl 1365.34127
Sun, Ye; Michel, Anthony N.; Zhai, Guisheng
2005
Stability analysis of discountinuous dynamical systems determined by semigroups. Zbl 1365.34104
Michel, Anthony N.; Sun, Ye; Molchanov, Alexander P.
2005
Generalized practical stability analysis of discontinuous dynamical systems. Zbl 1171.34328
Zhai, Guisheng; Michel, Anthony N.
2004
Partial stability and boundedness of general dynamical systems on metric spaces. Zbl 1035.37008
Michel, A. N.; Molchanov, A. P.; Sun, Y.
2003
Converse theorems of the principal Lyapunov results for partial stability of general dynamical systems on metric spaces. Zbl 1057.37012
Molchanov, A. P.; Michel, A. N.; Sun, Y.
2003
Robustness analysis of a class of discrete-time systems with applications to neural networks. Zbl 1115.93343
Feng, Zhaoshu; Michel, A. N.
2003
Qualitative analysis and synthesis of recurrent neural networks. Zbl 1026.68115
Michel, Anthony N.; Liu, Derong
2002
Common quadratic Lyapunov-like functions with associated switching regions for two unstable second-order LTI systems. Zbl 1017.93097
Hu, Bo; Zhai, Guisheng; Michel, Anthony N.
2002
Hybrid static output feedback stabilization of second-order linear time-invariant systems. Zbl 1007.93061
Hu, Bo; Zhai, Guisheng; Michel, Anthony N.
2002
Partial stability and boundedness of discontinuous dynamical systems. Zbl 1032.34052
Michel, A. N.; Molchanov, A. P.; Sun, Y.
2002
Analysis of time-controlled switched systems by stability preserving mappings. Zbl 1031.34050
Zhai, Guisheng; Hu, Bo; Sun, Ye; Michel, A. N.
2002
Disturbance attenuation properties of time-controlled switched systems. Zbl 1022.93017
Zhai, Guisheng; Hu, Bo; Yasuda, Kazunori; Michel, Anthony N.
2001
Stability analysis of switched systems with stable and unstable subsystems: An average dwell time approach. Zbl 1022.93043
Zhai, Guisheng; Hu, Bo; Yasuda, Kazunori; Michel, Anthony N.
2001
Qualitative theory of dynamical systems. The role of stability preserving mappings. 2nd, revised and expanded ed. Zbl 0976.34001
Michel, Anthony N.; Wang, Kaining; Hu, Bo
2001
Stability analysis of pulse-width-modulated feedback systems. Zbl 0995.93058
Hou, Ling; Michel, Anthony N.
2001
Moment stability of discontinuous stochastic dynamical systems. Zbl 1015.93068
Hou, Ling; Michel, Anthony N.
2001
Stability analysis of digital feedback control systems with time-varying sampling periods. Zbl 0941.93034
Hu, Bo; Michel, Anthony N.
2000
Robustness analysis of digital feedback control systems with time-varying sampling periods. Zbl 0981.93043
Hu, Bo; Michel, Anthony N.
2000
Almost sure rate of convergence of the parameter estimates in stochastic approximation algorithm. Zbl 0981.93078
Radenkovic, Miloje S.; Michel, Anthony N.
2000
Stability analysis of discontinuous dynamical systems using vector Lyapunov functions. Zbl 0963.93074
Michel, Anthony N.; Hu, Bo
2000
Robust stabilizing control laws for a class of second-order switched systems. Zbl 0948.93013
Hu, B.; Xu, X.; Antsaklis, P. J.; Michel, A. N.
1999
Recent trends in the stability analysis of hybrid dynamical systems. Zbl 0981.93055
Michel, Anthony N.
1999
Towards a stability theory of general hybrid dynamical systems. Zbl 0936.93040
Michel, Anthony N.; Hu, Bo
1999
Stability analysis of a class of nonlinear multirate digital control systems. Zbl 0951.93049
Hu, Bo; Michel, Anthony N.
1999
Robustness analysis of a class of discrete-time recurrent neural networks under perturbations. Zbl 1055.93560
Feng, Zhaoshu; Michel, Anthony N.
1999
Some qualitative properties of multirate digital control systems. Zbl 0958.93062
Hu, Bo; Michel, Anthony N.
1999
Stability theory for hybrid dynamical systems. Zbl 0905.93024
Ye, Hui; Michel, Anthony N.; Hou, Ling
1998
Stability analysis of systems with impulse effects. Zbl 0957.34051
Ye, Hui; Michel, Anthony N.; Hou, Ling
1998
Asymptotic stability of systems with saturation constraints. Zbl 0961.93050
Hou, Ling; Michel, Anthony N.
1998
Global asymptotic stability of a class of feedback neural networks with an application to optimization problems. Zbl 0915.93055
Feng, Zhaoshu; Michel, Anthony N.
1998
Some qualitative properties of sampled-data control systems. Zbl 1041.93541
Hou, Ling; Michel, Anthony N.; Ye, Hui
1997
Robustness analysis and design of a class of neural networks with sparse interconnecting structure. Zbl 0859.68078
Liu, Derong; Michel, Anthony N.
1996
A chronological bibliography on saturating actuators. Zbl 0841.93002
Bernstein, Dennis S.; Michel, Anthony N.
1995
Special issue on saturating actuators. Zbl 0828.00026
Bernstein, D. S. (ed.); Michel, A. N. (ed.)
1995
Lagrange stability and boundedness of discrete event systems. Zbl 0849.93051
Passino, Kevin M.; Burgess, Kevin L.; Michel, Anthony N.
1995
Stability analysis of a class of systems with parameter uncertainties and with state saturation nonlinearities. Zbl 0833.93044
Michel, Anthony N.; Liu, Derong; Wang, Kaining
1995
Dynamical systems with saturation nonlinearities: analysis and design. Zbl 0806.93051
Liu, Derong; Michel, Anthony N.
1994
Stability analysis of state-space realization for two-dimensional filters with overflow nonlinearities. Zbl 0845.93072
Liu, Derong; Michel, Anthony N.
1994
Necessary and sufficient conditions for the Hurwitz and Schur stability of interval matrices. Zbl 0810.93051
Wang, Kaining; Michel, Anthony N.; Liu, Derong
1994
Lyapunov stability of a class of discrete event systems. Zbl 0801.93052
Passino, Kevin M.; Michel, Anthony N.; Antsaklis, Panos J.
1994
Correction to “Lyapunov stability of a class of discrete-event systems”. Zbl 0825.93590
Passino, K. M.; Michel, A. N.; Antsaklis, P. J.
1994
Robustness and perturbation analysis of a class of nonlinear systems with applications to neural networks. Zbl 0843.93049
Wang, Kaining; Michel, Anthony N.
1994
Sparsely interconnected neural networks for associative memories with applications to cellular neural networks. Zbl 0801.68149
Liu, Derong; Michel, Anthony N.
1994
Necessary and sufficient conditions for the controllability and observability of a class of linear, time-invariant systems with interval plants. Zbl 0800.93165
Wang, Kaining; Michel, Anthony N.
1994
Qualitative analysis of dynamical systems determined by differential inequalities with applications to robust stability. Zbl 0804.93029
Wang, Kaining; Michel, Anthony N.
1994
Cellular neural network for associative memories. Zbl 0800.92046
Liu, Derong; Michel, Anthony N.
1993
Applied algebra and functional analysis. Corr. repr. of the 1981 orig. Zbl 0849.00005
Michel, Anthony N.; Herget, Charles J.
1993
On sufficient conditions for the stability of interval matrices. Zbl 0772.93073
Wang, Kaining; Michel, Anthony N.
1993
Robust stability: Perturbed systems with perturbed equilibria. Zbl 0785.93075
Michel, Anthony N.; Wang, Kaining
1993
Null controllability of systems with control constraints and state saturation. Zbl 0782.93014
Liu, Derong; Michel, Anthony N.
1993
Asymptotic stability of discrete-time systems with saturation nonlinearities with applications to digital filters. Zbl 0776.93077
Liu, Derong; Michel, Anthony N.
1992
Robust adaptive systems and self stabilization. Zbl 0755.93052
Radenkovic, Miloje S.; Michel, Anthony N.
1992
Verification of the self-stabilization mechanism in robust stochastic adaptive control using Lyapunov function arguments. Zbl 0771.93050
1992
Asymptotic stability of systems operating on a closed hypercube. Zbl 0781.93082
Liu, Derong; Michel, Anthony N.
1992
A learning and forgetting algorithm in associative memories: The eigenstructure method. Zbl 0825.68515
Yen, Gune; Michel, Anthony N.
1992
A learning and forgetting algorithm in associative memories: Results involving pseudo-inverses. Zbl 0738.68067
Yen, Gune; Michel, Anthony N.
1991
Exponential stability and trajectory bounds of neural networks under structural variations. Zbl 0738.93057
Grujić, Ljubomir T.; Michel, Anthony N.
1991
A synthesis procedure for Hopfield’s continuous-time associative memory. Zbl 0715.94021
Farrell, Jay A.; Michel, Anthony N.
1990
Analysis of systems subject to parameter uncertainties: Application of interval analysis. Zbl 0715.93040
Michel, A. N.; Sun, H. F.
1990
An invariance theorem with applications to adaptive control. Zbl 0800.93653
Miller, R. K.; Michel, A. N.
1990
Qualitative analysis of neural networks. Zbl 0672.94015
Michel, Anthony N.; Farrell, Jay A.; Porod, Wolfgang
1989
Analysis and synthesis of a class of neural networks: Linear systems operating on a closed hypercube. Zbl 0689.94004
Li, Jian-Hua; Michel, Anthony N.; Porod, Wolfgang
1989
Quantizer effects on steady-state error specifications of digital feedback control systems. Zbl 0682.93021
Miller, R. K.; Michel, A. N.; Farrell, J. A.
1989
Analysis and synthesis of a class of neural networks: Variable structure systems with infinite gain. Zbl 0675.94021
Li, Jianhua; Michel, Anthony N.; Porod, Wolfgang
1989
Estimates of asymptotic trajectory bounds in digital implementations of linear feedback control systems. Zbl 0689.93048
Farrell, J. A.; Michel, A. N.
1989
Qualitative analysis and synthesis of a class of neural networks. Zbl 0664.34042
Li, Jian Hua; Michel, Anthony N.; Porod, Wolfgang
1988
Stability of viscoelastic control systems. Zbl 0641.93051
Skaar, Steven B.; Michel, Anthony N.; Miller, Richard K.
1988
Quantization and overflow effects in digital implementations of linear dynamic controllers. Zbl 0646.93053
Miller, R. K.; Mousa, M. S.; Michel, A. N.
1988
Application of interval analysis techniques to linear systems. III: Initial value problems. Zbl 0850.93688
Oppenheimer, Edward P.; Michel, Anthony N.
1988
Application of interval analysis techniques to linear systems. I: Fundamental results. Zbl 0663.65073
Oppenheimer, Edward P.; Michel, Anthony N.
1988
Qualitative analysis of neural networks. Zbl 0677.93003
Michel, A. N.; Farrell, J. A.; Porod, W.
1988
Qualitative analysis of neural networks. Zbl 0671.92004
Michel, A. N.; Farrel, J. A.; Porod, W.
1988
A variational principle for nonconservative power systems. Zbl 0656.49020
Vittal, Vijay; Michel, A. N.
1988
Stability analysis of hybrid composite dynamical systems: Descriptions involving operators and difference equations. Zbl 0618.93058
Mousa, Mohsen S.; Miller, Richard K.; Michel, Anthony N.
1986
Stability analysis of hybrid composite dynamical systems: descriptions involving operators and differential equations. Zbl 0597.93049
Mousa, Mohsen S.; Miller, Richard K.; Michel, Anthony N.
1986
On limit cycles of feedback systems which contain a hysteresis nonlinearity. Zbl 0604.93049
Miller, R. K.; Michel, A. N.; Krenz, G. S.
1986
Stability and security assessment of a class of systems governed by Lagrange’s equation with application to multi-machine power systems. Zbl 0594.93048
Vittal, Vijay; Michel, Anthony N.
1986
Stability analysis of fixed-point digital filters using computer generated Lyapunov functions. I. Direct form and coupled form filters. Zbl 0557.93056
Erickson, Kelvin T.; Michel, Anthony N.
1985
Stability analysis of fixed-point digital filters using computer generated Lyapunov functions. II: Wave digital filters and lattice digital filters. Zbl 0557.93057
Erickson, Kelvin T.; Michel, Anthony N.
1985
Computer generated Lyapunov functions for interconnected systems: Improved results with applications to power systems. Zbl 0542.93050
Michel, Anthony N.; Nam, B. H.; Vittal, Vijay
1984
Stability analysis of limit cycles in nonlinear feedback systems using describing functions: Improved results. Zbl 0546.93054
Miller, R. K.; Michel, A. N.; Krenz, G. S.
1984
Power system transient stability analysis: Formulation as nearly Hamiltonian systems. Zbl 0547.93053
Vittal, V.; Michel, A. N.; Fouad, A. A.
1984
On the stability of limit cycles in nonlinear feedback systems: Analysis using describing functions. Zbl 0536.93041
Miller, Richard K.; Michel, Anthony N.; Krenz, G. S.
1983
On the status of stability of interconnected systems. Zbl 0519.93012
Michel, Anthony N.
1983
On stability preserving mappings. Zbl 0538.93055
Michel, Anthony N.; Miller, Richard K.
1983
Ordinary differential equations. Zbl 0552.34001
Miller, Richard K.; Michel, Anthony N.
1982
On periodic solutions in systems of high order differential equations. Zbl 0499.34024
Skar, S. J.; Miller, R. K.; Michel, A. N.
1982
Stability analysis of complex dynamical systems. Some computational methods. Zbl 0493.93040
Michel, A. N.; Sarabudla, N. R.; Miller, R. K.
1982
Stability analysis of interconnected systems using computer generated Lyapunov functions. Zbl 0492.93049
Michel, Anthony N.; Miller, Richard K.; Nam, Boo Hee
1982
Mathematical foundations in engineering and science. Algebra and analysis. Zbl 0497.00002
Michel, Anthony N.; Herget, Charles J.
1981
...and 30 more Documents
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#### Cited by 2,224 Authors

 46 Zhao, Jun 38 Michel, Anthony N. 31 Liu, Xinzhi 30 Cao, Jinde 23 Martynyuk, Anatoliĭ Andriĭovych 22 Xiang, Zhengrong 20 Zhai, Guisheng 19 Xiang, Weiming 16 Shi, Peng 15 Sugie, Jitsuro 15 Wu, Fen 15 Xiao, Jian 14 Kar, Haranath 14 Lin, Zongli 14 Saberi, Ali 13 Lam, James 12 Dimirovski, Georgi Marko 12 Stoorvogel, Anton A. 12 Wang, Long 11 Platonov, Alekseĭ Viktorovich 11 Xie, Guangming 11 Xu, Shengyuan 10 Antsaklis, Panos J. 10 Hill, David John 10 Lin, Hai 10 Liu, Bin 10 Singh, Vimal Pratap 9 Chen, Tianping 9 Fei, Shumin 9 Forti, Mauro 9 Gao, Huijun 9 Ge, Shuzhi Sam 9 Grujić, Ljubomir T. 9 Haddad, Wassim Michael 9 Ho, Daniel W. C. 9 Wang, Zidong 9 Xu, Xuping 9 Zhang, Lixian 9 Zhong, Shou-Ming 8 Hu, Bo 8 Kandanvli, V. Krishna Rao 8 Liao, Xiao Xin 8 Liu, Derong 8 Mahmoud, Magdi Sadik Mostafa 8 Niu, Ben 8 Teel, Andrew Richard 8 Wang, Yijing 8 Zhang, Hongbin 7 Di Marco, Mauro 7 Liang, Jinling 7 Liao, Xiaofeng 7 Sontag, Eduardo D. 7 Stechlinski, Peter G. 7 Tao, Qing 7 Tarbouriech, Sophie 7 Zhu, Quanxin 7 Zong, Guangdeng 7 Zuo, Zhiqiang 6 Aleksandrov, Aleksandr Yur’evich 6 Alwan, Mohamad S. 6 Chellaboina, Vijaysekhar 6 Chiou, Juing-Shian 6 Feng, Gang 6 Geromel, Jose Claudio 6 Heinen, James A. 6 Huang, Lihong 6 Karimi, Hamid Reza 6 Miller, Richard K. 6 Nazemi, Alireza 6 Park, Juhyun (Jessie) 6 Rakkiyappan, Rajan 6 Šiljak, Dragoslav D. 6 Wang, Xu 6 Wu, Ligang 6 Xie, Wei-Chau 6 Zhao, Xudong 5 Ahn, Choon Ki 5 Bitsoris, Georges 5 Chen, Guanrong 5 Chen, Qingwei 5 Chen, YunHai 5 Chu, Tianguang 5 Daafouz, Jamal 5 Garcia, Germain 5 Hethcote, Herbert W. 5 Iqbal, Muhammad Naveed 5 Jiang, Bin 5 Karafyllis, Iasson 5 Li, Jiao 5 Li, Junmin 5 Matcovschi, Mihaela-Hanako 5 Nersesov, Sergey G. 5 Pastravanu, Octavian C. 5 Qiu, Jianbin 5 Sannuti, Peddapullaiah 5 Shao, Hanyong 5 Shen, Tao 5 Socha, Leslaw 5 Su, Qingyu 5 Sun, Yuangong ...and 2,124 more Authors
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#### Cited in 191 Serials

 173 Automatica 119 International Journal of Control 91 Systems & Control Letters 77 Journal of the Franklin Institute 67 Nonlinear Analysis. Hybrid Systems 59 International Journal of Systems Science 59 International Journal of Robust and Nonlinear Control 54 Circuits, Systems, and Signal Processing 53 Applied Mathematics and Computation 40 Journal of Mathematical Analysis and Applications 33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 32 Chaos, Solitons and Fractals 26 European Journal of Control 24 Mathematical Problems in Engineering 22 Asian Journal of Control 21 Nonlinear Dynamics 20 Mathematical and Computer Modelling 20 Neural Networks 20 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 19 Abstract and Applied Analysis 16 Information Sciences 15 International Journal of Systems Science. Principles and Applications of Systems and Integration 13 Communications in Nonlinear Science and Numerical Simulation 12 Automation and Remote Control 12 Nonlinear Analysis. Theory, Methods & Applications 11 Journal of Computational and Applied Mathematics 11 Linear Algebra and its Applications 11 Nonlinear Analysis. Real World Applications 11 Advances in Difference Equations 10 International Journal of Adaptive Control and Signal Processing 10 Journal of Control Theory and Applications 9 Soviet Applied Mechanics 9 Signal Processing 8 MCSS. Mathematics of Control, Signals, and Systems 8 Journal of Systems Science and Complexity 7 Computers & Mathematics with Applications 7 Fuzzy Sets and Systems 7 International Journal of Circuit Theory and Applications 7 Applied Mathematics and Mechanics. (English Edition) 7 Multidimensional Systems and Signal Processing 7 Applied Mathematical Modelling 7 Discrete and Continuous Dynamical Systems. Series B 7 Journal of Applied Mathematics 6 Journal of Optimization Theory and Applications 6 Optimal Control Applications & Methods 6 Neural Computation 6 International Applied Mechanics 6 Discrete Dynamics in Nature and Society 6 International Journal of Applied Mathematics and Computer Science 5 Journal of Mathematical Biology 5 Physics Letters. A 5 Journal of Differential Equations 5 Kybernetika 5 Mathematics and Computers in Simulation 5 Applied Mathematics Letters 4 Rocky Mountain Journal of Mathematics 4 Proceedings of the American Mathematical Society 4 Physica D 4 Journal of Computer and Systems Sciences International 4 Science in China. Series F 4 International Journal of Control, I. Series 3 International Journal of General Systems 3 Mathematical Biosciences 3 Mathematical Methods in the Applied Sciences 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Computer and System Sciences 3 SIAM Journal on Control and Optimization 3 Cybernetics and Systems 3 Acta Mathematicae Applicatae Sinica. English Series 3 Journal of Integral Equations and Applications 3 International Journal of Computer Mathematics 3 Pattern Recognition 3 Journal of Mathematical Sciences (New York) 3 Journal of Applied Mathematics and Computing 3 Prikladnaya Diskretnaya Matematika 2 Applicable Analysis 2 Journal of Applied Mathematics and Mechanics 2 Journal of Computational Physics 2 Journal of Engineering Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Theoretical Computer Science 2 Acta Applicandae Mathematicae 2 Applied Numerical Mathematics 2 Journal of Dynamics and Differential Equations 2 Journal of Nonlinear Science 2 Cybernetics and Systems Analysis 2 Applied and Computational Harmonic Analysis 2 Fractals 2 Complexity 2 Journal of Difference Equations and Applications 2 Journal of Mathematical Chemistry 2 Journal of Vibration and Control 2 Soft Computing 2 Journal of Inequalities and Applications 2 Fractional Calculus & Applied Analysis 2 Journal of Dynamical and Control Systems 2 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 2 Differential Equations 2 Dynamical Systems ...and 91 more Serials
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#### Cited in 42 Fields

 1,161 Systems theory; control (93-XX) 355 Ordinary differential equations (34-XX) 174 Biology and other natural sciences (92-XX) 92 Computer science (68-XX) 81 Dynamical systems and ergodic theory (37-XX) 60 Operations research, mathematical programming (90-XX) 55 Information and communication theory, circuits (94-XX) 45 Probability theory and stochastic processes (60-XX) 45 Mechanics of particles and systems (70-XX) 42 Numerical analysis (65-XX) 39 Linear and multilinear algebra; matrix theory (15-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 30 Difference and functional equations (39-XX) 25 Partial differential equations (35-XX) 18 Integral equations (45-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Real functions (26-XX) 11 Operator theory (47-XX) 6 Mechanics of deformable solids (74-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Mathematical logic and foundations (03-XX) 5 General topology (54-XX) 4 Combinatorics (05-XX) 4 Statistics (62-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Associative rings and algebras (16-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Functional analysis (46-XX) 3 Fluid mechanics (76-XX) 2 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX)

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